Quantized Vortices in the Ideal Bose Gas: A Physical Realization of Random Polynomials

Yvan Castin, Zoran Hadzibabic, Sabine Stock, Jean Dalibard, and Sandro Stringari
Phys. Rev. Lett. 96, 040405 – Published 3 February 2006

Abstract

We propose a physical system allowing one to experimentally observe the distribution of the complex zeros of a random polynomial. We consider a degenerate, rotating, quasi-ideal atomic Bose gas prepared in the lowest Landau level. Thermal fluctuations provide the randomness of the bosonic field and of the locations of the vortex cores. These vortices can be mapped to zeros of random polynomials, and observed in the density profile of the gas.

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  • Received 8 November 2005

DOI:https://doi.org/10.1103/PhysRevLett.96.040405

©2006 American Physical Society

Authors & Affiliations

Yvan Castin1, Zoran Hadzibabic1, Sabine Stock1, Jean Dalibard1, and Sandro Stringari1,2,3

  • 1Laboratoire Kastler Brossel, Ecole normale supérieure, 24 rue Lhomond, 75005 Paris, France
  • 2Collège de France, 11 place Marcelin Berthelot, 75005 Paris, France
  • 3Dipartimento di Fisica, Università di Trento and CNR-INFM BEC Center, I-38050 Povo, Trento, Italy

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Issue

Vol. 96, Iss. 4 — 3 February 2006

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